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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2012, Issue 1(26), Pages 261–267
DOI: https://doi.org/10.14498/vsgtu971 (Mi vsgtu971) 		 
Short Communication
Mathematical Modelling

Modeling and analysis of macroeconomic system dynamics in MATLAB/Simulink environment

V. S. Lubentcova, D. A. Andreyanov

Samara State Technical University, Samara, Russia
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DOI: https://doi.org/10.14498/vsgtu971
Abstract: The general theory of cyclic processes is examined in an economy. The simulation model of solutions of differential equations describing the cyclic vibrations of business activity and the trend curve of GDP growth is built in MATLAB/Simulink environment. Stability of the system is investigated. The graphic image of solutions of differential equations is brought, the influence of accelerator power on the dynamics of the economic system is analyzed.
Keywords: business cycles, method of averaging, power of accelerator, the equation of macroeconomic dynamics, stability of system, bifurcation point, long-term prognostication.
Original article submitted 23/VI/2011
revision submitted – 20/I/2012
Bibliographic databases:
Document Type: Article
UDC: 517.958:330.101.541
MSC: 35Q91
Language: Russian
Citation: V. S. Lubentcova, D. A. Andreyanov, “Modeling and analysis of macroeconomic system dynamics in MATLAB/Simulink environment”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(26) (2012), 261–267
Citation in format AMSBIB
\Bibitem{LubAnd12}
\by V.~S.~Lubentcova, D.~A.~Andreyanov
\paper Modeling and analysis of macroeconomic system dynamics in MATLAB/Simulink environment
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 1(26)
\pages 261--267
\mathnet{http://mi.mathnet.ru/vsgtu971}
\crossref{https://doi.org/10.14498/vsgtu971}
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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